Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics

CY Ju, A Miranowicz, YN Chen, GY Chen, F Nori - Quantum, 2024 - quantum-journal.org
Studies have shown that the Hilbert spaces of non-Hermitian systems require nontrivial
metrics. Here, we demonstrate how evolution dimensions, in addition to time, can emerge …

Discrete-coordinate crypto-Hermitian quantum system controlled by time-dependent Robin boundary conditions

M Znojil - Physica Scripta, 2024 - iopscience.iop.org
A family of exactly solvable quantum square wells with discrete coordinates and with certain
non-stationary Hermiticity-violating Robin boundary conditions is proposed and studied …

[HTML][HTML] Phase transitions and thermodynamic cycles in the broken PT-regime

A Fring, M Reboiro - The European Physical Journal Plus, 2024 - Springer
We propose a new type of quantum thermodynamic cycle whose efficiency is greater than
the one of the classical Carnot cycle for the same conditions for a system when viewed as …

Thermodynamic cycles in the broken PT-regime--beating the Carnot cycle

A Fring, M Reboiro - arXiv preprint arXiv:2308.06176, 2023 - arxiv.org
We propose a new type of quantum thermodynamic cycle whose efficiency is greater than
the one of the classical Carnot cycle for the same conditions. In our model this type of cycle …

[PDF][PDF] Emergent parallel transports and curvatures in non-Hermitian quantum mechanics

CY Ju, A Miranowicz, YN Chen… - arXiv preprint arXiv …, 2022 - researchgate.net
Studies have shown that the Hilbert spaces of non-Hermitian systems require non-trivial
metrics. Here, we demonstrate how evolution dimensions, in addition to time, can emerge …